A truck with a mass of 1530 kg and moving with a speed of 13.0 m/s rear-ends a 733 kg car stopped at an intersection. The collision is appro

Question

A truck with a mass of 1530 kg and moving with a speed of 13.0 m/s rear-ends a 733 kg car stopped at an intersection. The collision is approximately elastic since the car is in neutral, the brakes are off, the metal bumpers line up well and do not get damaged. Find the speed of both vehicles after the collision in meters per second.

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Lệ Thu 4 years 2021-08-13T07:13:16+00:00 1 Answers 19 views 0

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  1. kiet
    0
    2021-08-13T07:15:05+00:00
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    Answer:

    v2 = 8.79 [m/s]

    Explanation:

    It is assumed that both vehicles are attached after impact, therefore it is perfectly elastic.

    We will use the following initial data:

    m_{A}= 1530[kg]\\v_{A}= 13[m/s]\\m_{B}=733[kg]\\v_{B}=0\\

    We need to find the final speed after the collision.

    m_{A}*v_{A}+m_{B}*v_{B}=(m_{A}+m_{B})*v_{2}\\replacing:\\(1530*13)+(733*0)=(1530+733)*v_{2}\\v_{2}= 8.79[m/s]

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